Review Article

Potential Energy Surfaces Using Algebraic Methods Based on Unitary Groups

Table 4

Experimental and calculated energies, given as differences of energy, for 1 1 𝐵 𝐹 3 . Fit 1 is obtained by diagonalizing the Hamiltonian (148), while Fit 2 corresponds to the equivalent description in the harmonic limit. In the last row the 𝑟 𝑚 𝑠 is displayed.

PolyadStateExp. [120]Fit 1Fit 2

Symmetry 𝐴 1
411885.840.42.4
442959.310.90.2
6221384.960.0.3
831  411929.6800.0

S y m m e t r y 𝐸
241479.35−0.2-3.
442959.69−0.70.6
611  411361.320.2−1.
6311453.960.−5.4
811  421837.73−0.22.1
822  411866.120.0.5
831  411931.920.0
1012  412240.940.10.3
1011  312336.20−0.7−5.1
1211  31  412810.70−0.30.3
12322905.360.57.8
1413  413118.20−0.11.
1412  313216.32−0.1−5.3
1612  31  413687.140.4−0.1
1611  323783.840.35.7
18334310.26−0.3 4 . 5

Symmetry 𝐴 2
321691.2100.4
711  211573.730−0.2
9232081.120. 0 .3

Symmetry 𝐸
521  411171.490.−1.
921  312139.680 0

rms0.524.69